Jillian spent $31 to park for 6 hours. The parking garage charges a base rate of $3 for the first two 2 hours, and then an hourly rate for each additional hour. How much does each additional hour of parking cost

1 answer

To determine the cost of each additional hour of parking, we can break down Jillian's parking expense as follows:

  1. The base rate for the first two hours is $3.
  2. Jillian parked for a total of 6 hours, meaning she parked for 4 additional hours beyond the initial 2 hours.

Let \( x \) be the cost of each additional hour of parking. The total cost can be expressed as:

\[ \text{Total cost} = \text{Base rate} + (\text{Additional hours} \times \text{Cost per additional hour}) \]

Substituting the known values:

\[ 31 = 3 + (4 \times x) \]

Now, simplify the equation:

\[ 31 - 3 = 4x \] \[ 28 = 4x \]

Next, divide both sides by 4:

\[ x = \frac{28}{4} = 7 \]

Thus, the cost of each additional hour of parking is $7.